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Finding the Third Proportional to 127,800 and 280,440

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Solution

The third proportional to 127,800 and 280,440 is: 615,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,800 : 280,440 = 280,440 : x
  2. Step 2: Convert to fraction form
    127,800/280,440 = 280,440/x
  3. Step 3: Cross multiply
    127,800x = 280,440 × 280,440
  4. Step 4: Simplify right side
    127,800x = 78,646,593,600
  5. Step 5: Solve for x
    x = 78,646,593,600/127,800
  6. Step 6: Final answer
    x = 615,388.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.